{
  "id": "math/0211021",
  "version": "v1",
  "published": "2002-11-01T18:34:07.000Z",
  "updated": "2002-11-01T18:34:07.000Z",
  "title": "Zoll Manifolds and Complex Surfaces",
  "authors": [
    "Claude LeBrun",
    "L. J. Mason"
  ],
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "We classify compact surfaces with torsion-free affine connections for which every geodesic is a simple closed curve. In the process, we obtain completely new proofs of all the major results concerning the Riemannian case. In contrast to previous work, our approach is twistor-theoretic, and depends fundamentally on the fact that, up to biholomorphism, there is only one complex structure on CP2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-01T18:34:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C22",
      "32G10"
    ],
    "keywords": [
      "complex surfaces",
      "zoll manifolds",
      "torsion-free affine connections",
      "complex structure",
      "classify compact surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11021L"
    }
  }
}